Slope Intercept with tables, graphs, equations, & word problems

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from a graph?

Back

The slope is the rise over run, calculated as the change in y divided by the change in x between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

How do you find the y-intercept from a graph?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0.

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical and does not have a defined rise or run.